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This section covers the theory and principles of orthographic and pictorial (including perspective) projections, along with concepts of scale and dimensioning systems used in geometrical figures and building drawings.
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Orthographic Projection A method of representing a three-dimensional object using multiple two-dimensional views (plan, elevation, section), each obtained by projecting the object onto a plane perpendicular to the line of sight, with all projection lines parallel to each other.
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Standard orthographic views for buildings: plan (viewed from above), elevation (viewed from the front/side), and section (a cut view revealing internal structure/spatial arrangement).
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First-angle and third-angle projection are two conventional systems differing in the relative placement of the object and the projection planes; the choice affects the arrangement of views on a drawing sheet.
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Pictorial Projections Projection Type Description Axonometric (general) A pictorial projection showing three faces of an object in a single view, with projection lines parallel (no vanishing point), giving a three-dimensional impression while retaining measurability Isometric projection An axonometric projection in which all three principal axes are equally foreshortened and drawn at 120° to each other, commonly used for object/building massing sketches Oblique projection One face of the object is drawn true-shape/parallel to the picture plane, while receding lines are drawn at an angle (commonly 45°), often at reduced (e.g. half) scale Perspective Projection Represents an object/space as it appears to the human eye, with parallel lines converging toward one or more vanishing points on the horizon line, simulating the effect of visual depth.
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One-point perspective: a single vanishing point, used when one principal face of the object is parallel to the picture plane (e.g. viewing straight down a corridor).
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Two-point perspective: two vanishing points, used when the object is viewed at an angle so that two sets of horizontal lines recede toward two different vanishing points; commonly used for exterior building views.
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Three-point perspective: three vanishing points (including one for vertical lines), used for dramatic views looking sharply up or down at a tall object.
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Perspective views are drawn at various eye levels (e.g. normal eye-level view, bird's-eye/aerial view, worm's-eye view) depending on the intended viewpoint and design communication purpose.
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Scales and Dimensioning Systems Drawings are prepared at standard scales (e.g.
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1:100, 1:50, 1:20, 1:5) appropriate to the drawing type (site plan, floor plan, detail) and required level of information.
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Dimensioning systems for geometrical figures and building drawings must clearly and unambiguously communicate size, following consistent conventions (dimension lines, extension lines, arrowheads/ticks, units).